2984356445841 has 27 divisors (see below), whose sum is σ = 4336301890011. Its totient is φ = 1977841041984.

The previous prime is 2984356445797. The next prime is 2984356445843. The reversal of 2984356445841 is 1485446534892.

The square root of 2984356445841 is 1727529.

It is a perfect power (a square), and thus also a powerful number.

2984356445841 is a `hidden beast` number, since 2 + 9 + 8 + 4 + 3 + 5 + 6 + 44 + 584 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2691355086225 + 293001359616 = 1640535^2 + 541296^2 .

It is not a de Polignac number, because 2984356445841 - 2¹⁹ = 2984355921553 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2984356445843) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 927681465 + ... + 927684681.

Almost surely, 2^{2984356445841} is an apocalyptic number.

2984356445841 is the 1727529-th square number.

2984356445841 is the 863765-th centered octagonal number.

It is an amenable number.

2984356445841 is a deficient number, since it is larger than the sum of its proper divisors (1351945444170).

2984356445841 is an frugal number, since it uses more digits than its factorization.

2984356445841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6798 (or 3399 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 63.

The spelling of 2984356445841 in words is "two trillion, nine hundred eighty-four billion, three hundred fifty-six million, four hundred forty-five thousand, eight hundred forty-one".